Q1.
Write the standard form of the linear equation in two variables.
Q2.
Which of the following is a linear equation? Give reason.
(i)
(ii)
Q3.
Express the linear equation
in the form
Q4.
Write the following as equation in two variables:
(i)
.
(ii)
Q5.
Check whether the following are the solutions of the equation
or not.
(i)
(ii)
Q6.
Find two solutions for the equation
.
Q7.
Show that
Q8.
In the given equation express
in terms of
Q9.
In the given equation express
in terms of
Q10.
For what value of
the point
Q11.
Find the value of
so that each of t he following equations may have
satisfy the linear equation
lies on the line
.
as a solution:
(i)
(ii)
Q12.
Q13.
Q14.
Mohan and Rohit donated
towards the student fund. Write a linear equation
in two variables for the given statement.
The weighted a man is four times the weight of a child. Express this statement as
a linear equation in two variables.
Draw the graph for the linear equation:
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Q15.
Draw the graph of the equation
when
.from the graph find the value of
.
Q16.
Draw the graph of the equation
. Find the coordinates of the point where
Q17.
the graph cuts the x-axis.
Draw the graph of the equation:
Q18.
Draw the graph of the equation
Q19.
Draw the graph of
Q20.
Draw the graph of the lines represented by the equations
and comment on it.
. Show the point
is on the graph.
in the same graph. Also, find the coordinates of the point where the two lines
intersect.
Answers
A1.
A2.
, where
are real numbers; such that
are not both,
is called a linear equation in two variables.
An equation in which the highest degree of the variables is one is called a liner
equation.
(i) No, as the degree of the equation here is .
(ii) Yes, as the degree of the equation here is .
A3.
A4.
(i)
(ii)
A5.
A6.
(i) Yes (ii) No
A7.
Hint: substitute the values of
satisfy the equation
in the equation. We say that
, if
.
A8.
A9.
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A10.
A11.
(i)
(ii)
A12.
A13.
; Where
and
A14.
A15.
A16.
is the point where the graph cuts the x-axis.
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A17.
A18.
The graph is a line parallel to y –axis and at a distance of
A19.
Point with coordinates
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units to the right of it.
lies on the line graph.
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A20.
Point of intersection of two lines is
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.
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